• 제목/요약/키워드: Weber-Reynolds number

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Prediction of Critical Reynolds Number in Stability Curve of Liquid Jet ( I )

  • No, S.Y.;Ryu, K.Y.;Rhim, J.H.;Lim, S.B.
    • 한국분무공학회지
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    • 제4권1호
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    • pp.55-61
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    • 1999
  • The first maximum point in the stability curve of liquid jet, i.e., the critical point is associated with the critical Reynolds number. This critical Reynolds number should be predicted by simple means. In this work, the critical Reynolds number in the stability curve of liquid jet are predicted using the empirical correlations and the experimental data reported in the literatures. The critical Reynolds number was found to be a function of the Ohnesorge number, nozzle lengh-to-diameter ratio, ambient Weber number and nozzle inlet type. An empirical correlation for the critical Reynolds number as a function of the Ohnesorge number and nozzle length-to-diameter ratio is newly proposed here. Although an empirical correlation proposed in this work may not be universal because of excluding the effects of ambient pressure and nozzle inlet type, it has reasonably agrees with the measured critical Reynolds number.

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하이브리드 로켓 연소에서 연료액적의 발생과 저주파수 연소불안정 (Fuel Droplet Entrainment and Low Frequency Instability in Hybrid Rocket Combustion)

  • 김진아;이창진
    • 한국항공우주학회지
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    • 제49권7호
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    • pp.573-580
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    • 2021
  • 파라핀 왁스는 높은 후퇴율 때문에 하이브리드 로켓의 연료로 많은 각광을 받고 있다. 하지만 파라핀 연료의 연소에서도 비정상적인 저주파수 연소압력 진동이 관찰되고 있는데, 이는 연료 표면에 형성된 액체층과 액적의 유입과 관련이 있는 것으로 추론된다. 본 연구는 액적에 의한 추가적 연소와 저주파수 연소불안정 발생과의 관계를 분석하였다. 한편, 액적의 발생은 관성력과 액체의 표면장력의 비로 정의되는 We수(Weber Number)와 액체층의 Re수(Reynolds Number)에 따라 변화하는 것으로 알려져 있다. 따라서 일차적으로 실험실 규모의 로켓을 사용하여 We수에 따른 연소불안정의 발생여부를 관찰하였다. We수의 조절은 산화제 유량 변화를 통한 관성력의 변화와 LDPE(Low Density Polyethylene) 첨가에 의한 표면장력의 변화를 통해 시도하였다. 저주파수의 연소불안정의 발생은 특정한 We수 이상에서만 관찰되었고 임계 We수가 존재하는 것을 확인하였다.

고속기류에 분사된 액적궤적 및 입경분포에 미치는 주위 기체밀도의 영향 (The effect of gas density on the drop trajectory and drop size distribution in high speed gas stream)

  • 이충훈
    • 한국분무공학회지
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    • 제5권3호
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    • pp.37-44
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    • 2000
  • High velocity, gas-assisted liquid drop trajectories were investigated under well-controlled experimental conditions at elevated gas densities and room temperature. A monodisperse stream of drops which are generated by a vibrating-orifice drop generator were injected into a transverse high velocity gas stream. The gas density and air jet velocity were adjusted independently to keep the Weber numbers constant. The Weber numbers studied were 72, 148, 270, 532. The range of experimental conditions included studied the three drop breakup regimes previously referred as bag, stretching/thinning and catastrophic breakup regimes. High-magnification photography and conventional spray field photographs were taken to study the microscopic breakup mechanisms and the drop trajectories in high velocity gas flow fields, respectively. The parent drop trajectories were affected by the gas density and the gas jet velocities and do not show similarity with respect to the either Weber or the Reynolds number, as expected.

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소형 액체로켓엔진 인젝터의 분사성능 고찰을 위한 분무특성 매개변수 측정 (Measurement of Spray Characteristic Parameters for Inquiry into Small LRE-Injector's Injection Performance)

  • 정훈;김진석;김정수;박정;최종욱
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 춘계학술대회 논문집
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    • pp.141-144
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    • 2009
  • 액체로켓엔진 연소실의 연소특성은 인젝터의 성능에 지대한 영향을 받는다. 본 논문은 소형 액체로 켓엔진 인젝터의 분사성능 고찰을 위해 이중모드 위상도플러속도계를 이용하여 분사압력 및 분무의 횡단방향 이동거리 변화에 따라 액적의 속도, Sauter 평균직경, 난류강도와 같은 분무특성 매개변수를 측정한다. 또, Weber 수와 Reynolds 수를 활용하여 인젝터 분무의 미립화 및 난류특성을 규명한다.

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연직상향(鉛直上向) 사각충돌수분류(四角衝突水噴流)의 포화비등 열전달에 관한 연구 (A Study on Saturated Boiling Heat Transfer in Upward Rectangular Impinging Water Jet System)

  • 이종수;엄기찬;서정윤
    • 설비공학논문집
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    • 제3권5호
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    • pp.395-403
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    • 1991
  • The purpose of this investigation was to characterize nucleate boiling and burn-out heat flux for rectangular free jet with saturated water impinging perpendicularly and upward against a flat uniform heat flux surface. Heat flux measured for Reynolds number based on rectangular nozzle width and for aspect ratio. The result of nucleate boiling heat transfer was presented nondimensional experimental equation including Nusselt, Boiling, Subcooling, Reynolds and Weber number. The effect of aspect ratio of heated surface in the burn-out heat flux had not appeared distinctly. But for the same aspect ratio, burn-out heat flux increased linearly with increment of nozzle exit velocity.

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안정성 이론을 이용한 고압 분사 액체 제트의 미립화 모델에 관한 연구 (A Study on an Atomization Model of a High-Pressurized Liquid Jet with a Stability Theory)

  • 김홍석;성낙원
    • 대한기계학회논문집B
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    • 제25권6호
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    • pp.811-818
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    • 2001
  • The wave characteristics for a non-reacting high-speed liquid jet were investigated using a linear stability theory. In this study, 2-D incompressible viscid momentum equation for a liquid jet was considered, and the effects of injection parameters, such as Weber number, Reynolds number, and density ratio, on the wave characteristics were investigated. With the wavelength obtained from the stability analysis, the atomization model was suggested. The droplet sizes after breakup were determined by the wavelengths of fast growing waves, and the mass of the shed droplets was determined by the breakup time derived by ORouke et al. It was found that in comparison with measurements of diesel fuel spray, the results of calculation had a similar trend of the decrease of overall SMD with the increase of Reynolds number.

수직 간섭된 램공기 대류에 의한 충돌 분무의 미립화 촉진에 관한 연구 (Spray characteristics of impinging sprays introduced into the strongly convective flow)

  • 이상승;윤웅섭
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2005년도 제25회 추계학술대회논문집
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    • pp.384-394
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    • 2005
  • Important characteristics of impinging sprays intersected by a strongly convective gaseous cross flows were experimentally investigated. The breakup processes due to different Weber and Reynolds numbers of liquid and gas streams were visually examined with quantitative measurements of breakup lengths, penetration heights, and droplet sizes. Snapshot images and spay data evidenced that, at lower jet Reynolds number the breakup processes portrays the atomization profiles similar to typical column breakup of single orifice jet. At higher jet Reynolds numbers, disintegration of jet stream is significantly expedited by strong momentum transported from strongly convective gaseous stream. The breakup length and penetration height decreased as the convective flow increase. From the bottom the wall up, the SMD measured the centerline increase. The maximum SMD appeared the top of the SMD distribution

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수직 간섭된 램공기 대류에 의한 스월 분무의 미립화 촉진에 관한 연구 (Spray characteristics of swirl sprays introduced into the strongly convective flow)

  • 이상승;윤웅섭
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2005년도 제25회 추계학술대회논문집
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    • pp.395-406
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    • 2005
  • Important characteristics of swirl sprays intersected by a strongly convective gaseous cross flows were experimentally investigated. The breakup processes due to different Weber and Reynolds numbers of liquid and gas streams were visually examined with quantitative measurements of breakup lengths, penetration heights, and droplet sizes. Snapshot images and spray data evidenced that, at lower jet Reynolds number the breakup processes portrays the atomization profiles similar to typical column breakup of single orifice jet. At higher jet Reynolds numbers, disintegration of jet stream is significantly expedited by strong momentum transported from strongly convective gaseous stream. The breakup length and penetration height decreased as the convective flow increase. From the bottom the wall up, the SMD measured the centerline first increases and then decreases before again increasing.

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Empirical Correlations for Breakup Length of Liquid Jet in Uniform Cross Flow-A Review

  • No, Soo-Young
    • 한국분무공학회지
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    • 제18권1호
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    • pp.35-43
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    • 2013
  • The empirical correlations for the prediction of breakup length of liquid jet in uniform cross flow are reviewed and classified in this study. The breakup length of liquid jets in cross flow was normally discussed in terms of the distances from the nozzle exit to the column breakup location in the x and y directions, called as column fracture distance and column fracture height, respectively. The empirical correlations for the prediction of column fracture distance can be classified as constant form, momentum flux ratio form, Weber number form and other parameter form, respectively. In addition, the empirical correlations for the prediction of column fracture height can be grouped as momentum flux ratio form, Weber number form and other parameter form, respectively. It can be summarized that the breakup length of liquid jet in a cross flow is a basically function of the liquid to air momentum flux ratio. However, Weber number, liquid-to-air viscosity ratio and density ratio, Reynolds number or Ohnesorge number were incorporated in the empirical correlations depending on the investigators. It is clear that there exist the remarkable discrepancies of predicted values by the existing correlations even though many correlations have the same functional form. The possible reasons for discrepancies can be summarized as the different experimental conditions including jet operating condition and nozzle geometry, measurement and image processing techniques introduced in the experiment, difficulties in defining the breakup location etc. The evaluation of the existing empirical correlations for the prediction of breakup length of liquid jet in a uniform cross flow is required.

Empirical Correlations for Penetration Height of Liquid Jet in Uniform Cross Flow - A Review

  • No, Soo-Young
    • 한국분무공학회지
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    • 제16권4호
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    • pp.176-185
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    • 2011
  • The empirical correlations for the prediction of penetration height of liquid jet in crossflow are reviewed and classified in this study. Around thirty different correlations had been proposed by many investigators. It has generally known that the penetration height of a liquid jet in a cross-flow is a function of the liquid to air momentum flux ratio and the normalized downstream distance from the injector. However, several researchers incorporated the Weber number, liquid-to-water or air viscosity ratio, pressure ratio or Reynolds number, temperature ratio in the empirical correlations. The existing correlations can be grouped as correlations in a power-law, logarithmic, and exponential forms, respectively. Correlations in a power-law form can be further classified as three groups such as basic form, Weber number form and other parameters form. It should be pointed out that correlations in a logarithmic form in terms of Weber number or any other parameters could not be found. Universal correlation has still not been established due to the significant discrepancies between various correlations suggested to date. Several of the studies reported the significant discrepancies of predicted values by the existing correlations. The possible reasons for discrepancies will be summarized as measurement technique, assumptions made in defining terms in the liquid to air momentum flux ratio, difficulties in defining the boundaries of the liquid jets, and nozzle/injector geometry. Evaluation of validity for the correlations proposed recently by several investigators is essentially required. Those include eight power-law forms, two logarithmic forms, and one exponential form.